Question 5 of 5
1 answer:
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Answer:
103, 776
Step-by-step explanation:
There are 48 possibilities, and you are picking 3.
Now, the order does matter (aka, if the same 3 athletes won but got different places, we would still consider it to be a separate possibility)
(this is considered "without repetitions")
the number of permutations (arrangement combinations where the order does matter) without repetitions formula:
Number of permutations
without <em>repetitions </em>= nPr
=
(
[the P is for combinations [where the order does matter, if the order didn't matter then it would be C, and it would be a different formula.]
n is the total number of objects.
r is the number of objects selected]
<em>(a repetition would be like two versions of the same person competing, which doesn't make sense)</em>
{the ! means factorial:
5! = 5 x 4 x 3 x 2 x 1}
{for example, if there are 5 people to give a presentation, and they can go in any order [but cannot repeat their presentation], so they all must fill 5 slots}
{for the first slot there are 5 choices, the second slot there are 4 choices...}
)
So, if we follow this formula:
n: 48
r: 3
=
=
(the 45! cancel out)
= 48 * 47 * 46
= 103, 776
(or, without the formula:
for the first choice (lets say of gold), there are 48 options
for the second choice (lets say silver), there are 47 options left to choose from
for the third choice (lets say bronze), there are 46 options left to choose from
)
Answer:
<em>The options are not visible enough (See Explanation)</em>
Step-by-step explanation:
Given
x:- 1 || 2 || 3 || 4 || 5
y:- 13 || 22 || 37 || 58 || 85
Required
Determine if the function is quadratic
Calculate the difference between the values of y
<em>The resulting difference are: 9 || 15 || 21 || 27</em>
Next; Calculate the difference between the difference of values of y
<em>The resulting difference are: 6 || 6 || 6</em>
<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>